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Finding the Fourth Proportional to 8,553, 11,801.70 and 5,715.81

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Solution

The fourth proportional to 8,553, 11,801.70 and 5,715.81 is: 7,886.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,553 : 11,801.70 = 5,715.81 : x
  2. Step 2: Convert to fraction form
    8,553/11,801.70 = 5,715.81/x
  3. Step 3: Cross multiply
    8,553x = 11,801.70 × 5,715.81
  4. Step 4: Simplify right side
    8,553x = 67,456,274.88
  5. Step 5: Solve for x
    x = 67,456,274.88/8,553
  6. Step 6: Final answer
    x = 7,886.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.